Nonlinear elliptic equations with lower order terms and \(L^{1,\lambda }\)-data

DOI10.1016/j.na.2007.02.020zbMath1138.35021OpenAlexW2104054855MaRDI QIDQ2482484

Giuseppa Rita Cirmi

Publication date: 17 April 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.02.020

zbMATH Keywords

Dirichlet problemelliptic equations\(p\)-Laplacian\(L^{1}\)-data

Mathematics Subject Classification ID

Related Items (6)

Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and \(L^{1,\theta}\)-data ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ Fourth-order nonlinear elliptic equations with lower order term and natural growth conditions ⋮ Hölder continuity up to the boundary of solutions to nonlinear fourth-order elliptic equations with natural growth terms

Cites Work

• Regularity results for the gradient of solutions linear elliptic equations with \(L^{1,\lambda}\) data
• Some regularity results for quasilinear elliptic systems of second order
• Existence of bounded solutions for non linear elliptic unilateral problems
• Hölder continuity of solutions to quasilinear elliptic equations involving measures
• Existence and nonexistence of solutions for some nonlinear elliptic equations
• Change of variables for absolutely continuous functions
• Proprieta di inclusione per spazi di Morrey
• Local Behavior of Solutions of Quasilinear Elliptic Equations With General Structure
• Strongly nonlinear elliptic equations having natural growth terms and L1 data
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
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